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234080 = 25571119
BaseRepresentation
bin111001001001100000
3102220002122
4321021200
524442310
65003412
71663310
oct711140
9386078
10234080
1114a960
12b3568
1382712
1461440
1549555
hex39260

234080 has 96 divisors (see below), whose sum is σ = 725760. Its totient is φ = 69120.

The previous prime is 234067. The next prime is 234083. The reversal of 234080 is 80432.

234080 = T7 + T8 + ... + T111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234083) by changing a digit.

234080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12311 + ... + 12329.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2234080 is an apocalyptic number.

234080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

234080 is an abundant number, since it is smaller than the sum of its proper divisors (491680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234080 is a wasteful number, since it uses less digits than its factorization.

234080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 234080 is about 483.8181476547. The cubic root of 234080 is about 61.6294231733.

The spelling of 234080 in words is "two hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 19 20 22 28 32 35 38 40 44 55 56 70 76 77 80 88 95 110 112 133 140 152 154 160 176 190 209 220 224 266 280 304 308 352 380 385 418 440 532 560 608 616 665 760 770 836 880 1045 1064 1120 1232 1330 1463 1520 1540 1672 1760 2090 2128 2464 2660 2926 3040 3080 3344 4180 4256 5320 5852 6160 6688 7315 8360 10640 11704 12320 14630 16720 21280 23408 29260 33440 46816 58520 117040 234080